# this is the three dimensional bidirectional A* algo # !/usr/bin/env python3 # -*- coding: utf-8 -*- """ @author: yue qi """ import numpy as np import matplotlib.pyplot as plt from collections import defaultdict import os import sys sys.path.append(os.path.dirname(os.path.abspath(__file__)) + "/../../Search-based Planning/") from Search_3D.env3D import env from Search_3D.utils3D import getDist, getRay, g_Space, Heuristic, getNearest, isCollide, cost, children, heuristic_fun from Search_3D.plot_util3D import visualization import queue class Weighted_A_star(object): def __init__(self,resolution=0.5): self.Alldirec = {(1, 0, 0): 1, (0, 1, 0): 1, (0, 0, 1): 1, \ (-1, 0, 0): 1, (0, -1, 0): 1, (0, 0, -1): 1, \ (1, 1, 0): np.sqrt(2), (1, 0, 1): np.sqrt(2), (0, 1, 1): np.sqrt(2), \ (-1, -1, 0): np.sqrt(2), (-1, 0, -1): np.sqrt(2), (0, -1, -1): np.sqrt(2), \ (1, -1, 0): np.sqrt(2), (-1, 1, 0): np.sqrt(2), (1, 0, -1): np.sqrt(2), \ (-1, 0, 1): np.sqrt(2), (0, 1, -1): np.sqrt(2), (0, -1, 1): np.sqrt(2), \ (1, 1, 1): np.sqrt(3), (-1, -1, -1) : np.sqrt(3), \ (1, -1, -1): np.sqrt(3), (-1, 1, -1): np.sqrt(3), (-1, -1, 1): np.sqrt(3), \ (1, 1, -1): np.sqrt(3), (1, -1, 1): np.sqrt(3), (-1, 1, 1): np.sqrt(3)} self.env = env(resolution = resolution) self.start, self.goal = tuple(self.env.start), tuple(self.env.goal) self.g = {self.start:0,self.goal:0} self.OPEN1 = queue.MinheapPQ() # store [point,priority] self.OPEN2 = queue.MinheapPQ() self.Parent1, self.Parent2 = {}, {} self.CLOSED1, self.CLOSED2 = set(), set() self.V = [] self.done = False self.Path = [] def run(self): x0, xt = self.start, self.goal self.OPEN1.put(x0, self.g[x0] + heuristic_fun(self,x0,xt)) # item, priority = g + h self.OPEN2.put(xt, self.g[xt] + heuristic_fun(self,xt,x0)) # item, priority = g + h self.ind = 0 while not self.CLOSED1.intersection(self.CLOSED2): # while xt not reached and open is not empty xi1, xi2 = self.OPEN1.get(), self.OPEN2.get() self.CLOSED1.add(xi1) # add the point in CLOSED set self.CLOSED2.add(xi2) self.V.append(xi1) self.V.append(xi2) # visualization(self) allchild1, allchild2 = children(self,xi1), children(self,xi2) self.evaluation(allchild1,xi1,conf=1) self.evaluation(allchild2,xi2,conf=2) if self.ind % 100 == 0: print('iteration number = '+ str(self.ind)) self.ind += 1 self.common = self.CLOSED1.intersection(self.CLOSED2) self.done = True self.Path = self.path() visualization(self) plt.show() def evaluation(self, allchild, xi, conf): for xj in allchild: if conf == 1: if xj not in self.CLOSED1: if xj not in self.g: self.g[xj] = np.inf else: pass gi = self.g[xi] a = gi + cost(self,xi,xj) if a < self.g[xj]: self.g[xj] = a self.Parent1[xj] = xi self.OPEN1.put(xj, a+1*heuristic_fun(self,xj,self.goal)) if conf == 2: if xj not in self.CLOSED2: if xj not in self.g: self.g[xj] = np.inf else: pass gi = self.g[xi] a = gi + cost(self,xi,xj) if a < self.g[xj]: self.g[xj] = a self.Parent2[xj] = xi self.OPEN2.put(xj, a+1*heuristic_fun(self,xj,self.start)) def path(self): # TODO: fix path path = [] goal = self.goal start = self.start x = list(self.common)[0] while x != start: path.append([x,self.Parent1[x]]) x = self.Parent1[x] x = list(self.common)[0] while x != goal: path.append([x,self.Parent2[x]]) x = self.Parent2[x] path = np.flip(path,axis=0) return path if __name__ == '__main__': Astar = Weighted_A_star(0.5) Astar.run()